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Question #89206
Dry air is passed through a solution containing 10 g of the solute in 90 g of water and then through pure water. The loss in weight of solution is 2.5g and that of pure solvent is 0.05g. The molecular weight of the solute is
Expert's answer
Solution.
P
s
/
P
o
=
2.5
g
/
(
2.5
g
+
0.05
g
)
Ps/Po = 2.5 g/(2.5g+0.05g)
P
s
/
P
o
=
2.5
g
/
(
2.5
g
+
0.05
g
)
Ps - partial pressure of solution
(
P
o
−
P
s
)
/
P
s
=
0.05
/
2.5
(Po-Ps)/Ps = 0.05/2.5
(
P
o
−
P
s
)
/
P
s
=
0.05/2.5
n
(
H
2
O
)
=
m
(
H
2
O
)
/
M
(
H
2
O
)
n(H2O) = m(H2O)/M(H2O)
n
(
H
2
O
)
=
m
(
H
2
O
)
/
M
(
H
2
O
)
n(H2O) = 90/18 = 5.0 mole
10
/
M
=
n
(
s
o
l
u
t
i
o
n
)
10/M = n(solution)
10/
M
=
n
(
so
l
u
t
i
o
n
)
(
P
o
−
P
s
)
/
P
s
=
0.02
(Po-Ps)/Ps = 0.02
(
P
o
−
P
s
)
/
P
s
=
0.02
0.02
=
(
10
/
M
)
/
(
90
/
18
)
0.02 = (10/M)/(90/18)
0.02
=
(
10/
M
)
/
(
90/18
)
M = 100 g/mole
Answer:
M = 100 g/mole
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